Answer
$Solutions: r=0,\ r=1,\ r=2$
Work Step by Step
$(e^{rt})'''-3(e^{rt})''+2(e^{rt})'=0$
$(r^3-3r^2+2r)e^{rt}=0$
$r(r-1)(r-2)e^{rt}=0$
$Solutions: r=0,\ r=1,\ r=2$
Elementary Differential Equations and Boundary Value Problems 9th Edition
by Boyce, William E.; DiPrima, Richard C.
Published by
Wiley
ISBN 10:
0-47038-334-8
ISBN 13:
978-0-47038-334-6
Chapter 1 - Introduction - 1.3 Classification of Differential Equations - Problems - Page 25: 18
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